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Finding the Fourth Proportional to 29,335.30, 44,002.96 and 7,148.50

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Solution

The fourth proportional to 29,335.30, 44,002.96 and 7,148.50 is: 10,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,335.30 : 44,002.96 = 7,148.50 : x
  2. Step 2: Convert to fraction form
    29,335.30/44,002.96 = 7,148.50/x
  3. Step 3: Cross multiply
    29,335.30x = 44,002.96 × 7,148.50
  4. Step 4: Simplify right side
    29,335.30x = 314,555,031.68
  5. Step 5: Solve for x
    x = 314,555,031.68/29,335.30
  6. Step 6: Final answer
    x = 10,722.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.